Long-time stability of the implicit Euler scheme for a three dimensional globally modified two-phase flow model-Reference-Cited by-同舟云学术

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Long-time stability of the implicit Euler scheme for a three dimensional globally modified two-phase flow model

Published:2020-06-08 Issue:3 Volume:118 Page:161-208
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Medjo T. Tachim¹,Tone C.²,Tone F.³

Affiliation:

1. Department of Mathematics, Florida International University, DM413B University Park, Miami, Florida 33199, USA

2. Department of Mathematics, University of Louisville, Louisville, KY 40292, USA

3. Department Mathematics and Statistics, University of West Florida, Pensacola, FL 32514, USA

Publisher

IOS Press

Subject

General Mathematics

Reference35 articles.

1. Continuity properties and global attractors of generalized semiflows and the Navier–Stokes equations;Ball;J. Nonlinear Sci.,1997

2. V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff International Publishing, Leiden, 1976.

3. A generalization of the Navier–Stokes equation to two-phase flow;Blesgen;Physica D (Applied Physics),1999

4. An analysis of a phase field model of a free boundary;Caginalp;Arch. Rational Mech. Anal.,1986

5. Invariant measures and statistical solutions of the globally modified Navier–Stokes equations;Caraballo;Discrete Contin. Dyn. Syst. Ser. B,2008

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On a Class of High-Order, Energy-Dissipation and Maximum Bound Principle Preserving Schemes for Two-Phase Incompressible Flow;2024

2. Longtime behavior of a semi-implicit scheme for Caginalp phase-field model;Results in Applied Mathematics;2021-11

3. GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS COUPLED WITH THE HEAT EQUATION: EXISTENCE RESULT AND TIME DISCRETE APPROXIMATION;Journal of Applied Analysis & Computation;2021

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